A wrecking ball swings at the end of a 14.4-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed v/ does the ball have when the cable makes an angle of 14.5 ° with respect to the vertical? Number i Units

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Topic: Physics Problem - Circular Motion of a Wrecking Ball**

**Problem Statement:**

A wrecking ball swings at the end of a 14.4-meter cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 meters per second (m/s) as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed \( v_f \) does the ball have when the cable makes an angle of 14.5 degrees with respect to the vertical?

**Calculation Input:**

- Length of cable: 14.4 meters
- Initial speed at the lowest point: 13.5 m/s
- Angle with respect to the vertical: 14.5 degrees

**Answer:**

| Number     | Units      |
|------------|------------|
|            |            |

**Explanation:**

To solve this problem, students should use principles from the conservation of mechanical energy, considering the kinetic and potential energies of the system.
Transcribed Image Text:**Topic: Physics Problem - Circular Motion of a Wrecking Ball** **Problem Statement:** A wrecking ball swings at the end of a 14.4-meter cable on a vertical circular arc. The crane operator manages to give the ball a speed of 13.5 meters per second (m/s) as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed \( v_f \) does the ball have when the cable makes an angle of 14.5 degrees with respect to the vertical? **Calculation Input:** - Length of cable: 14.4 meters - Initial speed at the lowest point: 13.5 m/s - Angle with respect to the vertical: 14.5 degrees **Answer:** | Number | Units | |------------|------------| | | | **Explanation:** To solve this problem, students should use principles from the conservation of mechanical energy, considering the kinetic and potential energies of the system.
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